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Finding the Fourth Proportional to 64,425.04, 96,633.24 and 17,674

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Solution

The fourth proportional to 64,425.04, 96,633.24 and 17,674 is: 26,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,425.04 : 96,633.24 = 17,674 : x
  2. Step 2: Convert to fraction form
    64,425.04/96,633.24 = 17,674/x
  3. Step 3: Cross multiply
    64,425.04x = 96,633.24 × 17,674
  4. Step 4: Simplify right side
    64,425.04x = 1,707,895,883.76
  5. Step 5: Solve for x
    x = 1,707,895,883.76/64,425.04
  6. Step 6: Final answer
    x = 26,509.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.